That is all correct.. But consider the time when someone forgets to close the door or window,,,Personally, I let my pet pigeons run/fly around in my house since it’s safer and they can still retain all their flight abilities, but I understand that is not for everyone.


You can see how certain pigeons with clipped wings perform on YouTube. I don't have any clips available at fingertips,, but do recall seeing these. Search a little and you can find.
Pigeon still is able to fly up into loft,,, but not fly away.
The purpose of doing some of these clippings,,, is so pigeon can be outdoors, but not escape beyond retrieval.